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14. In an attempt to design car seats that are comfortable for a wide variety of people, the engineering department of General Motors analyzed heights of men and women. For women in the 25-34 age bracket, heights have a mean of 64.1 inches and standard deviation of 2.4 inches (based on data from national health survey). In order to verify those parameters, 30 women drivers aged 25-34 were randomly selected and measured; their heights have a mean of 64.3 inches and standard deviation of 2.7 inches. At the 5% level of significance, test the claim that the sample is drawn from a population with the same standard deviation of 2.4 inches. Use -distribution for analysis). (7 points)
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2 Nell hy Pothe i s step 2x 27 2. 4 22 36:70 critical 二千2.56 Cusingt table ΤΗ χ > X-c vi tical , we reject nul l hypothe it, otheruise we fol to rejet hthais H So we fail to rsject nll hyothsConclusion : There is no sufficient evidence to reject the claim that the sample is drawn from a population with the same standard deviation of 2.4 inches

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